Volume

1) Water was poured into a rectangular tank of base 40cm by 25cm until it was 5/9 full. The water from the rectangular tank was then poured into a 10-litre container and the container was only 5/8 full. What was the height of the rectangular tank?

2) A rectangular tank 28cm by 20cm by 40cm was filled to a certain height with water. Water was then drained through a tap at a uniform rate of 240cm3 per minute. If the tap took 35 minutes to empty the tank, what was the water level from the brim of the tank initially?

3) A rectangular tank, 40cm long and 24cm wide, was filled with water to a depth of 12cm. 4.8L of water were poured into the tank. The tank was then 60% full. What was the height of the tank?

4) Tank X and Y were filled completely with water. 1/5 of the volume of water in tank X and 1/3 of the volume of tank Y were equal to 350ml. When 1/5 of the water in tank X was poured out, the total volume of water in both tanks was 1200ml. Find the volume of each tank.

5) A rectangular glass tank, 60cm by 50cm by 45cm, was filled with water to a height of 5cm. The ratio of the volume of the water in the glass tank to that in a container was 5:3. If ¾ of the container was filled with water, find
a) the volume of water in the tank
b) the number of such containers of water needed to fill the rest of the tank completely

6) What is the maximum number of cubes of edge 6cm I can cut from a wooden block, 32cm by 25cm by 21cm?

7) The height of the water in a rectangular tank was 6cm. Water was then poured into it until the water level rose to a height of 25cm. The tank was 50cm long and 40cm wide.
a) How much water had been poured into the tank?
b) What was the new water level if 20L of water were poured out of the tank?

An empty tank of base 50cm by 48cm was being filled with water from tap A and B flowing at the rates of 3L per min and 5L per min respectively. Both taps were turned on at the same time and they took 6 minutes to fill up the tank.
a) How long would it take for tap B to fill up the empty tank on its own?
b) What was the height of the tank?

9) Tap P and Q and Hose R were turned on at the same time and the height of the water in the tank was 2 cm from its brim. How long would it take for the tank to be completely empty?

10) The base of a rectangular tank was 560cm². If 8064cm³ of water were pumped into the empty tank, it became 4/5 full.
a) Find the height of the tank
b) the water was then poured into a cubic tank of edge 30cm. Find the percentage of water in the cubic tank. (Express your answer to 1 decimal place)

For answer, email to maths_problem@hotmail.com the title of the post